Course Information

Day One Handout

This section meets in slot 06, from 1:00-1:50 PM on Mondays, Tuesdays, and Thursdays, in ED 3034B. My office hours are Mondays and Thursdays from 10:00 - noon, or by appointment, in HH-2019.

The text for this course is Linear Algebra I:Course Notes for Math 2050, by Edgar Goodaire, published by Kendall Hunt. The bookstore is stocking the second edition, but the first edition would also be acceptable, as would any used version, including the spiral-bound notes sold previously. The e-book is available from the publisher here.

This course will not be using D2L; all material online will be posted here.

There will be 8 homework assignments (plus a final assignment that will not be graded and is worth no credit), as indicated on the schedule below. Each HW assignment will be posted at least one week before it is due. Homework will be due to the grading box, #36, in the Math (HH) building by 5:00pm on the day that it is due, or it can be turned in before/after the last class before the due date. No late homework will be accepted. The schedule here will be updated in the event of any changes.
HW1 Due Friday, Sept. 23rd Assignment Solutions
HW2 Due Friday, Sept. 30th Assignment Solutions
HW3 Due Friday, Oct. 7th Assignment Solutions
HW4 Due Friday, Oct. 21st Assignment Solutions
HW5 Due Friday, Oct. 28th Assignment Solutions
HW6 Due Friday, Nov. 4th Assignment Solutions
HW7 Due Friday, Nov. 18th Assignment Solutions
HW8 Due Friday, Nov. 25th Assignment Solutions
HW9 NOT for submission Assignment Solutions

Help is available during office hours, and through the Math 2050 Help Centre.

Midterm 1
Midterm 1 was held in class on Monday, October 17 and covered material on HW assignments 1 through 3 (up to but not including projections). A review class was held on Thursday, October 13. For practice, try the Practice Exam (Solutions) or the midterm from last year (Solutions).

Midterm 2
Midterm 2 will be held in class on Monday, November 14 and covers material on HW assignments 4 through 6 (from projections up to but not including matrix inverses). A review class will be held on Thursday, November 10. For practice, try the Practice Exam (Solutions) or the midterm from last year (Solutions).

Approximate Schedule

  • 9/8: Introduction
  • 9/12: 2D Vectors, addition, scalar multiplication
  • 9/13: Vectors in Rn, linear combinations, span
  • 9/15: Span, standard basis vectors, magnitude and unit vectors
  • 9/19: Dot product, Angle between vectors, Inequalities
  • 9/20: Inequalities, Cross Product
  • 9/22: Cross Product, Equation of a plane
  • 9/26: Equation of a plane, Equation of a line
  • 9/27: Projections
  • 9/29: Projections, part 2
  • 10/3: Linear Dependence and Independence
  • 10/4: Matrix notation
  • 10/6: Matrix-vector and matrix-matrix multiplication
  • 10/10: Thanksgiving Day, no lecture
  • 10/11: Fall Break, no lecture
  • 10/12: Monday Schedule! Matrix multiplication, continued
  • 10/13: Review for Midterm Test #1
  • 10/17: Midterm Test #1, Solutions
  • 10/18: Systems of linear equations and row operations
  • 10/20: Gaussian Elimination
  • 10/24: Gaussian Elimination, continued
  • 10/25: Homogeneous systems
  • 10/27: Matrix inverses and matrix equations
  • 10/31: Gauss-Jordan elimination
  • 11/1: Elementary matrices and LU factorization
  • 11/3: LU and PLU factorizations
  • 11/7: Minors, cofactors, adjoints, and determinants
  • 11/8: Computing Determinants
  • 11/10: Review for Midterm Test #2
  • 11/14: Midterm Test #2, Solutions
  • 11/15: Properties of Determinants
  • 11/17: Computing Determinants, Part 2
  • 11/21: Eigenvectors, Eigenvalues, Characteristic Polynomials
  • 11/22: Eigenvectors, Eigenvalues, Complex Numbers
  • 11/24: Eigenvectors, Eigenvalues
  • 11/28: Similarity and Diagonalizability
  • 11/29: Catchup / Final Review
  • 12/1: Final Review
  • Final Exam: See Registrar's webpage